\begin{lstlisting}
sage: p = 1172991670841347272989353064539
sage: q = 300997517969507552061104346547
sage: e = 5
sage: d1 = inverse_mod(e,p-1)
sage: d1
703795002504808363793611838723
sage: d2 = inverse_mod(e,q-1)
sage: d2
240798014375606041648883477237
\end{lstlisting}%link
